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Two point electric dipoles with dipole m...


Two point electric dipoles with dipole moment `P_(1)` and `P_(2)` are separated by a distance `r` with their dipole axes mutually perpendicular as shown. The force of interaction between the dipoles is (where `k=(1)/(4piepsilon_(0))`)

A

`(2kP_(1)P_(2))/(r^(4))`

B

`(3kP_(1)P_(2))/(r^(3))`

C

`(4kP_(1)P_(2))/(r^(4))`

D

`(6kP_(1)P_(2))/(r^(4))`

Text Solution

Verified by Experts

The correct Answer is:
B
The electric field due to `vecP_(1)` at the position of `vecP_(2)` is
`E_(1)=(KP_(1))/(r^(3))`
`therefore` force of interaction between the dipoles is
`F=P_(2)|(dE_(1))/(dr)|`
`F=(3kP_(1)P_(2))/(r^(4))`
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